Visualize - A problem is posed. Initial conjectures are based on mental visualization
rather than hands-on dragging with sketch.
Instrumentalize - Measurement instruments are used to further investigate
conjectures. Revisions are made based on new findings.
Trace - An ordered pair is constructed from two geometric measures. A trace
of the ordered pair is generated by dragging to foster further revision.
Algebratize - Students build an algebraic model for the traced curve using
knowledge of underlying mathematics in sketch.
Extend - (Optional) Students construct a fit model using statistical
routines / regression to check work; Students and Teacher extend the original
task using the What-If-Not (WIN) protocol (Brown & Walter, 1990).
SOUP AND SALAD: The VITAE Framework
Visualize - A problem is posed. Initial conjectures are based on mental visualization
rather than hands-on dragging with sketch.
Instrumentalize - Measurement instruments are used to further investigate
conjectures. Revisions are made based on new findings.
Trace - An ordered pair is constructed from two geometric measures. A trace
of the ordered pair is generated by dragging to foster further revision.
Algebratize - Students build an algebraic model for the traced curve using
knowledge of underlying mathematics in sketch.
Extend - (Optional) Students construct a fit model using statistical
routines / regression to check work; Students and Teacher extend the original
task using the What-If-Not (WIN) protocol (Brown & Walter, 1990).